Problem
stringlengths
16
20
Solution
float64
-20
20
Reasoning
stringlengths
77
86
6.0x + -6.0 = 3.0
1.5
Given: 6.0x + -6.0 = 3.0 | Subtract -6.0 β†’ 6.0x = 9.0 | Divide by 6.0 β†’ x = 1.5
3.0x + 0.0 = -7.0
-2.333
Given: 3.0x + 0.0 = -7.0 | Subtract 0.0 β†’ 3.0x = -7.0 | Divide by 3.0 β†’ x = -2.333
6.0x + 9.0 = 4.0
-0.833
Given: 6.0x + 9.0 = 4.0 | Subtract 9.0 β†’ 6.0x = -5.0 | Divide by 6.0 β†’ x = -0.833
3.0x + 1.0 = 5.0
1.333
Given: 3.0x + 1.0 = 5.0 | Subtract 1.0 β†’ 3.0x = 4.0 | Divide by 3.0 β†’ x = 1.333
9.0x + -10.0 = 1.0
1.222
Given: 9.0x + -10.0 = 1.0 | Subtract -10.0 β†’ 9.0x = 11.0 | Divide by 9.0 β†’ x = 1.222
8.0x + -5.0 = -5.0
0
Given: 8.0x + -5.0 = -5.0 | Subtract -5.0 β†’ 8.0x = 0.0 | Divide by 8.0 β†’ x = 0.0
6.0x + 2.0 = -7.0
-1.5
Given: 6.0x + 2.0 = -7.0 | Subtract 2.0 β†’ 6.0x = -9.0 | Divide by 6.0 β†’ x = -1.5
3.0x + -3.0 = 9.0
4
Given: 3.0x + -3.0 = 9.0 | Subtract -3.0 β†’ 3.0x = 12.0 | Divide by 3.0 β†’ x = 4.0
2.0x + 5.0 = 1.0
-2
Given: 2.0x + 5.0 = 1.0 | Subtract 5.0 β†’ 2.0x = -4.0 | Divide by 2.0 β†’ x = -2.0
8.0x + -5.0 = -8.0
-0.375
Given: 8.0x + -5.0 = -8.0 | Subtract -5.0 β†’ 8.0x = -3.0 | Divide by 8.0 β†’ x = -0.375
4.0x + 6.0 = -7.0
-3.25
Given: 4.0x + 6.0 = -7.0 | Subtract 6.0 β†’ 4.0x = -13.0 | Divide by 4.0 β†’ x = -3.25
3.0x + 0.0 = 5.0
1.667
Given: 3.0x + 0.0 = 5.0 | Subtract 0.0 β†’ 3.0x = 5.0 | Divide by 3.0 β†’ x = 1.667
1.0x + 3.0 = 5.0
2
Given: 1.0x + 3.0 = 5.0 | Subtract 3.0 β†’ 1.0x = 2.0 | Divide by 1.0 β†’ x = 2.0
3.0x + -1.0 = -9.0
-2.667
Given: 3.0x + -1.0 = -9.0 | Subtract -1.0 β†’ 3.0x = -8.0 | Divide by 3.0 β†’ x = -2.667
8.0x + -1.0 = 0.0
0.125
Given: 8.0x + -1.0 = 0.0 | Subtract -1.0 β†’ 8.0x = 1.0 | Divide by 8.0 β†’ x = 0.125
1.0x + 10.0 = 3.0
-7
Given: 1.0x + 10.0 = 3.0 | Subtract 10.0 β†’ 1.0x = -7.0 | Divide by 1.0 β†’ x = -7.0
4.0x + 4.0 = 2.0
-0.5
Given: 4.0x + 4.0 = 2.0 | Subtract 4.0 β†’ 4.0x = -2.0 | Divide by 4.0 β†’ x = -0.5
9.0x + 8.0 = -4.0
-1.333
Given: 9.0x + 8.0 = -4.0 | Subtract 8.0 β†’ 9.0x = -12.0 | Divide by 9.0 β†’ x = -1.333
7.0x + 3.0 = -5.0
-1.143
Given: 7.0x + 3.0 = -5.0 | Subtract 3.0 β†’ 7.0x = -8.0 | Divide by 7.0 β†’ x = -1.143
7.0x + 7.0 = 1.0
-0.857
Given: 7.0x + 7.0 = 1.0 | Subtract 7.0 β†’ 7.0x = -6.0 | Divide by 7.0 β†’ x = -0.857
2.0x + 6.0 = 2.0
-2
Given: 2.0x + 6.0 = 2.0 | Subtract 6.0 β†’ 2.0x = -4.0 | Divide by 2.0 β†’ x = -2.0
3.0x + 10.0 = -4.0
-4.667
Given: 3.0x + 10.0 = -4.0 | Subtract 10.0 β†’ 3.0x = -14.0 | Divide by 3.0 β†’ x = -4.667
3.0x + -2.0 = -6.0
-1.333
Given: 3.0x + -2.0 = -6.0 | Subtract -2.0 β†’ 3.0x = -4.0 | Divide by 3.0 β†’ x = -1.333
1.0x + 8.0 = 2.0
-6
Given: 1.0x + 8.0 = 2.0 | Subtract 8.0 β†’ 1.0x = -6.0 | Divide by 1.0 β†’ x = -6.0
9.0x + -3.0 = -8.0
-0.556
Given: 9.0x + -3.0 = -8.0 | Subtract -3.0 β†’ 9.0x = -5.0 | Divide by 9.0 β†’ x = -0.556
9.0x + -7.0 = -3.0
0.444
Given: 9.0x + -7.0 = -3.0 | Subtract -7.0 β†’ 9.0x = 4.0 | Divide by 9.0 β†’ x = 0.444
9.0x + 3.0 = 2.0
-0.111
Given: 9.0x + 3.0 = 2.0 | Subtract 3.0 β†’ 9.0x = -1.0 | Divide by 9.0 β†’ x = -0.111
2.0x + -3.0 = 10.0
6.5
Given: 2.0x + -3.0 = 10.0 | Subtract -3.0 β†’ 2.0x = 13.0 | Divide by 2.0 β†’ x = 6.5
6.0x + 5.0 = -6.0
-1.833
Given: 6.0x + 5.0 = -6.0 | Subtract 5.0 β†’ 6.0x = -11.0 | Divide by 6.0 β†’ x = -1.833
7.0x + 2.0 = -7.0
-1.286
Given: 7.0x + 2.0 = -7.0 | Subtract 2.0 β†’ 7.0x = -9.0 | Divide by 7.0 β†’ x = -1.286
9.0x + 5.0 = -9.0
-1.556
Given: 9.0x + 5.0 = -9.0 | Subtract 5.0 β†’ 9.0x = -14.0 | Divide by 9.0 β†’ x = -1.556
8.0x + -8.0 = 5.0
1.625
Given: 8.0x + -8.0 = 5.0 | Subtract -8.0 β†’ 8.0x = 13.0 | Divide by 8.0 β†’ x = 1.625
4.0x + 9.0 = -9.0
-4.5
Given: 4.0x + 9.0 = -9.0 | Subtract 9.0 β†’ 4.0x = -18.0 | Divide by 4.0 β†’ x = -4.5
6.0x + -9.0 = 1.0
1.667
Given: 6.0x + -9.0 = 1.0 | Subtract -9.0 β†’ 6.0x = 10.0 | Divide by 6.0 β†’ x = 1.667
6.0x + -4.0 = -8.0
-0.667
Given: 6.0x + -4.0 = -8.0 | Subtract -4.0 β†’ 6.0x = -4.0 | Divide by 6.0 β†’ x = -0.667
1.0x + 0.0 = 8.0
8
Given: 1.0x + 0.0 = 8.0 | Subtract 0.0 β†’ 1.0x = 8.0 | Divide by 1.0 β†’ x = 8.0
8.0x + 2.0 = -2.0
-0.5
Given: 8.0x + 2.0 = -2.0 | Subtract 2.0 β†’ 8.0x = -4.0 | Divide by 8.0 β†’ x = -0.5
3.0x + -4.0 = -7.0
-1
Given: 3.0x + -4.0 = -7.0 | Subtract -4.0 β†’ 3.0x = -3.0 | Divide by 3.0 β†’ x = -1.0
3.0x + 1.0 = -7.0
-2.667
Given: 3.0x + 1.0 = -7.0 | Subtract 1.0 β†’ 3.0x = -8.0 | Divide by 3.0 β†’ x = -2.667
1.0x + 8.0 = 1.0
-7
Given: 1.0x + 8.0 = 1.0 | Subtract 8.0 β†’ 1.0x = -7.0 | Divide by 1.0 β†’ x = -7.0
1.0x + -2.0 = 10.0
12
Given: 1.0x + -2.0 = 10.0 | Subtract -2.0 β†’ 1.0x = 12.0 | Divide by 1.0 β†’ x = 12.0
9.0x + -8.0 = 8.0
1.778
Given: 9.0x + -8.0 = 8.0 | Subtract -8.0 β†’ 9.0x = 16.0 | Divide by 9.0 β†’ x = 1.778
9.0x + 1.0 = 6.0
0.556
Given: 9.0x + 1.0 = 6.0 | Subtract 1.0 β†’ 9.0x = 5.0 | Divide by 9.0 β†’ x = 0.556
1.0x + 5.0 = 1.0
-4
Given: 1.0x + 5.0 = 1.0 | Subtract 5.0 β†’ 1.0x = -4.0 | Divide by 1.0 β†’ x = -4.0
1.0x + -6.0 = 1.0
7
Given: 1.0x + -6.0 = 1.0 | Subtract -6.0 β†’ 1.0x = 7.0 | Divide by 1.0 β†’ x = 7.0
6.0x + -1.0 = 0.0
0.167
Given: 6.0x + -1.0 = 0.0 | Subtract -1.0 β†’ 6.0x = 1.0 | Divide by 6.0 β†’ x = 0.167
5.0x + -4.0 = 5.0
1.8
Given: 5.0x + -4.0 = 5.0 | Subtract -4.0 β†’ 5.0x = 9.0 | Divide by 5.0 β†’ x = 1.8
7.0x + 7.0 = -2.0
-1.286
Given: 7.0x + 7.0 = -2.0 | Subtract 7.0 β†’ 7.0x = -9.0 | Divide by 7.0 β†’ x = -1.286
5.0x + -2.0 = 10.0
2.4
Given: 5.0x + -2.0 = 10.0 | Subtract -2.0 β†’ 5.0x = 12.0 | Divide by 5.0 β†’ x = 2.4
5.0x + 7.0 = 8.0
0.2
Given: 5.0x + 7.0 = 8.0 | Subtract 7.0 β†’ 5.0x = 1.0 | Divide by 5.0 β†’ x = 0.2
5.0x + 2.0 = -8.0
-2
Given: 5.0x + 2.0 = -8.0 | Subtract 2.0 β†’ 5.0x = -10.0 | Divide by 5.0 β†’ x = -2.0
4.0x + -10.0 = -3.0
1.75
Given: 4.0x + -10.0 = -3.0 | Subtract -10.0 β†’ 4.0x = 7.0 | Divide by 4.0 β†’ x = 1.75
9.0x + -6.0 = 2.0
0.889
Given: 9.0x + -6.0 = 2.0 | Subtract -6.0 β†’ 9.0x = 8.0 | Divide by 9.0 β†’ x = 0.889
4.0x + -3.0 = 3.0
1.5
Given: 4.0x + -3.0 = 3.0 | Subtract -3.0 β†’ 4.0x = 6.0 | Divide by 4.0 β†’ x = 1.5
6.0x + -1.0 = -1.0
0
Given: 6.0x + -1.0 = -1.0 | Subtract -1.0 β†’ 6.0x = 0.0 | Divide by 6.0 β†’ x = 0.0
3.0x + -8.0 = -6.0
0.667
Given: 3.0x + -8.0 = -6.0 | Subtract -8.0 β†’ 3.0x = 2.0 | Divide by 3.0 β†’ x = 0.667
9.0x + 7.0 = 5.0
-0.222
Given: 9.0x + 7.0 = 5.0 | Subtract 7.0 β†’ 9.0x = -2.0 | Divide by 9.0 β†’ x = -0.222
9.0x + 7.0 = 7.0
0
Given: 9.0x + 7.0 = 7.0 | Subtract 7.0 β†’ 9.0x = 0.0 | Divide by 9.0 β†’ x = 0.0
6.0x + 6.0 = 7.0
0.167
Given: 6.0x + 6.0 = 7.0 | Subtract 6.0 β†’ 6.0x = 1.0 | Divide by 6.0 β†’ x = 0.167
2.0x + -1.0 = 2.0
1.5
Given: 2.0x + -1.0 = 2.0 | Subtract -1.0 β†’ 2.0x = 3.0 | Divide by 2.0 β†’ x = 1.5
2.0x + 10.0 = 0.0
-5
Given: 2.0x + 10.0 = 0.0 | Subtract 10.0 β†’ 2.0x = -10.0 | Divide by 2.0 β†’ x = -5.0
3.0x + 7.0 = 6.0
-0.333
Given: 3.0x + 7.0 = 6.0 | Subtract 7.0 β†’ 3.0x = -1.0 | Divide by 3.0 β†’ x = -0.333
3.0x + 9.0 = -8.0
-5.667
Given: 3.0x + 9.0 = -8.0 | Subtract 9.0 β†’ 3.0x = -17.0 | Divide by 3.0 β†’ x = -5.667
8.0x + 0.0 = -5.0
-0.625
Given: 8.0x + 0.0 = -5.0 | Subtract 0.0 β†’ 8.0x = -5.0 | Divide by 8.0 β†’ x = -0.625
7.0x + 10.0 = 1.0
-1.286
Given: 7.0x + 10.0 = 1.0 | Subtract 10.0 β†’ 7.0x = -9.0 | Divide by 7.0 β†’ x = -1.286
2.0x + -5.0 = -4.0
0.5
Given: 2.0x + -5.0 = -4.0 | Subtract -5.0 β†’ 2.0x = 1.0 | Divide by 2.0 β†’ x = 0.5
2.0x + 3.0 = 9.0
3
Given: 2.0x + 3.0 = 9.0 | Subtract 3.0 β†’ 2.0x = 6.0 | Divide by 2.0 β†’ x = 3.0
3.0x + 7.0 = 7.0
0
Given: 3.0x + 7.0 = 7.0 | Subtract 7.0 β†’ 3.0x = 0.0 | Divide by 3.0 β†’ x = 0.0
4.0x + -7.0 = -9.0
-0.5
Given: 4.0x + -7.0 = -9.0 | Subtract -7.0 β†’ 4.0x = -2.0 | Divide by 4.0 β†’ x = -0.5
6.0x + -5.0 = -5.0
0
Given: 6.0x + -5.0 = -5.0 | Subtract -5.0 β†’ 6.0x = 0.0 | Divide by 6.0 β†’ x = 0.0
1.0x + -8.0 = -8.0
0
Given: 1.0x + -8.0 = -8.0 | Subtract -8.0 β†’ 1.0x = 0.0 | Divide by 1.0 β†’ x = 0.0
4.0x + 1.0 = -8.0
-2.25
Given: 4.0x + 1.0 = -8.0 | Subtract 1.0 β†’ 4.0x = -9.0 | Divide by 4.0 β†’ x = -2.25
2.0x + 5.0 = -9.0
-7
Given: 2.0x + 5.0 = -9.0 | Subtract 5.0 β†’ 2.0x = -14.0 | Divide by 2.0 β†’ x = -7.0
7.0x + 4.0 = 9.0
0.714
Given: 7.0x + 4.0 = 9.0 | Subtract 4.0 β†’ 7.0x = 5.0 | Divide by 7.0 β†’ x = 0.714
2.0x + -4.0 = -10.0
-3
Given: 2.0x + -4.0 = -10.0 | Subtract -4.0 β†’ 2.0x = -6.0 | Divide by 2.0 β†’ x = -3.0
8.0x + 3.0 = 8.0
0.625
Given: 8.0x + 3.0 = 8.0 | Subtract 3.0 β†’ 8.0x = 5.0 | Divide by 8.0 β†’ x = 0.625
9.0x + 1.0 = 6.0
0.556
Given: 9.0x + 1.0 = 6.0 | Subtract 1.0 β†’ 9.0x = 5.0 | Divide by 9.0 β†’ x = 0.556
4.0x + -7.0 = 10.0
4.25
Given: 4.0x + -7.0 = 10.0 | Subtract -7.0 β†’ 4.0x = 17.0 | Divide by 4.0 β†’ x = 4.25
5.0x + 4.0 = 4.0
0
Given: 5.0x + 4.0 = 4.0 | Subtract 4.0 β†’ 5.0x = 0.0 | Divide by 5.0 β†’ x = 0.0
2.0x + -4.0 = -9.0
-2.5
Given: 2.0x + -4.0 = -9.0 | Subtract -4.0 β†’ 2.0x = -5.0 | Divide by 2.0 β†’ x = -2.5
7.0x + 10.0 = 3.0
-1
Given: 7.0x + 10.0 = 3.0 | Subtract 10.0 β†’ 7.0x = -7.0 | Divide by 7.0 β†’ x = -1.0
1.0x + 5.0 = 1.0
-4
Given: 1.0x + 5.0 = 1.0 | Subtract 5.0 β†’ 1.0x = -4.0 | Divide by 1.0 β†’ x = -4.0
7.0x + 0.0 = 0.0
0
Given: 7.0x + 0.0 = 0.0 | Subtract 0.0 β†’ 7.0x = 0.0 | Divide by 7.0 β†’ x = 0.0
3.0x + -5.0 = 6.0
3.667
Given: 3.0x + -5.0 = 6.0 | Subtract -5.0 β†’ 3.0x = 11.0 | Divide by 3.0 β†’ x = 3.667
6.0x + -2.0 = 3.0
0.833
Given: 6.0x + -2.0 = 3.0 | Subtract -2.0 β†’ 6.0x = 5.0 | Divide by 6.0 β†’ x = 0.833
3.0x + 7.0 = -10.0
-5.667
Given: 3.0x + 7.0 = -10.0 | Subtract 7.0 β†’ 3.0x = -17.0 | Divide by 3.0 β†’ x = -5.667
9.0x + 3.0 = 3.0
0
Given: 9.0x + 3.0 = 3.0 | Subtract 3.0 β†’ 9.0x = 0.0 | Divide by 9.0 β†’ x = 0.0
1.0x + 3.0 = -4.0
-7
Given: 1.0x + 3.0 = -4.0 | Subtract 3.0 β†’ 1.0x = -7.0 | Divide by 1.0 β†’ x = -7.0
7.0x + -7.0 = -4.0
0.429
Given: 7.0x + -7.0 = -4.0 | Subtract -7.0 β†’ 7.0x = 3.0 | Divide by 7.0 β†’ x = 0.429
3.0x + -5.0 = -8.0
-1
Given: 3.0x + -5.0 = -8.0 | Subtract -5.0 β†’ 3.0x = -3.0 | Divide by 3.0 β†’ x = -1.0
9.0x + 7.0 = 8.0
0.111
Given: 9.0x + 7.0 = 8.0 | Subtract 7.0 β†’ 9.0x = 1.0 | Divide by 9.0 β†’ x = 0.111
9.0x + 10.0 = -9.0
-2.111
Given: 9.0x + 10.0 = -9.0 | Subtract 10.0 β†’ 9.0x = -19.0 | Divide by 9.0 β†’ x = -2.111
1.0x + -6.0 = 10.0
16
Given: 1.0x + -6.0 = 10.0 | Subtract -6.0 β†’ 1.0x = 16.0 | Divide by 1.0 β†’ x = 16.0
7.0x + -9.0 = -10.0
-0.143
Given: 7.0x + -9.0 = -10.0 | Subtract -9.0 β†’ 7.0x = -1.0 | Divide by 7.0 β†’ x = -0.143
7.0x + -8.0 = -7.0
0.143
Given: 7.0x + -8.0 = -7.0 | Subtract -8.0 β†’ 7.0x = 1.0 | Divide by 7.0 β†’ x = 0.143
9.0x + -1.0 = -3.0
-0.222
Given: 9.0x + -1.0 = -3.0 | Subtract -1.0 β†’ 9.0x = -2.0 | Divide by 9.0 β†’ x = -0.222
8.0x + -5.0 = -4.0
0.125
Given: 8.0x + -5.0 = -4.0 | Subtract -5.0 β†’ 8.0x = 1.0 | Divide by 8.0 β†’ x = 0.125
8.0x + -8.0 = 7.0
1.875
Given: 8.0x + -8.0 = 7.0 | Subtract -8.0 β†’ 8.0x = 15.0 | Divide by 8.0 β†’ x = 1.875
3.0x + -3.0 = 5.0
2.667
Given: 3.0x + -3.0 = 5.0 | Subtract -3.0 β†’ 3.0x = 8.0 | Divide by 3.0 β†’ x = 2.667
9.0x + -10.0 = -5.0
0.556
Given: 9.0x + -10.0 = -5.0 | Subtract -10.0 β†’ 9.0x = 5.0 | Divide by 9.0 β†’ x = 0.556